DLMF:10.41.E5 (Q3597)

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Language	Label	Description	Also known as
English	DLMF:10.41.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\nu}'\left(\nu z\right)\sim\frac{(1+z^{2})^{% \frac{1}{4}}e^{\nu\eta}}{(2\pi\nu)^{\frac{1}{2}}z}\sum_{k=0}^{\infty}\frac{V_{% k}(p)}{\nu^{k}},}}

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DLMF:10.41.E5

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2addec

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modified Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1ddec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1ddec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C10.S41.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle V_{k}(p)}}

C10.S41.XMD4.m1dec

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